TSTP Solution File: SYN328+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 09:01:20 EDT 2022
% Result : Theorem 0.20s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 1
% Syntax : Number of formulae : 74 ( 13 unt; 0 def)
% Number of atoms : 245 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 262 ( 91 ~; 94 |; 34 &)
% ( 22 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 85 ( 8 sgn 23 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_12_3,conjecture,
? [X] :
! [Y,Z] :
( ( ( big_f(Y)
=> big_g(Y) )
<=> big_f(X) )
=> ( ( ( big_f(Y)
=> big_h(Y) )
<=> big_g(X) )
=> ( ( ( ( big_f(Y)
=> big_g(Y) )
=> big_h(Y) )
<=> big_h(X) )
=> ( big_f(Z)
& big_g(Z)
& big_h(Z) ) ) ) ) ).
fof(subgoal_0,plain,
? [X] :
! [Y,Z] :
( ( ( big_f(Y)
=> big_g(Y) )
<=> big_f(X) )
=> ( ( ( big_f(Y)
=> big_h(Y) )
<=> big_g(X) )
=> ( ( ( ( big_f(Y)
=> big_g(Y) )
=> big_h(Y) )
<=> big_h(X) )
=> ( big_f(Z)
& big_g(Z)
& big_h(Z) ) ) ) ),
inference(strip,[],[church_46_12_3]) ).
fof(negate_0_0,plain,
~ ? [X] :
! [Y,Z] :
( ( ( big_f(Y)
=> big_g(Y) )
<=> big_f(X) )
=> ( ( ( big_f(Y)
=> big_h(Y) )
<=> big_g(X) )
=> ( ( ( ( big_f(Y)
=> big_g(Y) )
=> big_h(Y) )
<=> big_h(X) )
=> ( big_f(Z)
& big_g(Z)
& big_h(Z) ) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X] :
? [Y] :
( ( ? [Z] : ~ big_f(Z)
| ? [Z] : ~ big_g(Z)
| ? [Z] : ~ big_h(Z) )
& ( ~ big_f(X)
<=> ( ~ big_g(Y)
& big_f(Y) ) )
& ( ~ big_g(X)
<=> ( ~ big_h(Y)
& big_f(Y) ) )
& ( ~ big_h(X)
<=> ( ~ big_h(Y)
& ( ~ big_f(Y)
| big_g(Y) ) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X] :
? [Y] :
( ( ? [Z] : ~ big_f(Z)
| ? [Z] : ~ big_g(Z)
| ? [Z] : ~ big_h(Z) )
& ( ~ big_f(X)
<=> ( ~ big_g(Y)
& big_f(Y) ) )
& ( ~ big_g(X)
<=> ( ~ big_h(Y)
& big_f(Y) ) )
& ( ~ big_h(X)
<=> ( ~ big_h(Y)
& ( ~ big_f(Y)
| big_g(Y) ) ) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ( ? [Z] : ~ big_f(Z)
| ? [Z] : ~ big_g(Z)
| ? [Z] : ~ big_h(Z) )
& ( ~ big_f(X)
<=> ( ~ big_g(skolemFOFtoCNF_Y(X))
& big_f(skolemFOFtoCNF_Y(X)) ) )
& ( ~ big_g(X)
<=> ( ~ big_h(skolemFOFtoCNF_Y(X))
& big_f(skolemFOFtoCNF_Y(X)) ) )
& ( ~ big_h(X)
<=> ( ~ big_h(skolemFOFtoCNF_Y(X))
& ( ~ big_f(skolemFOFtoCNF_Y(X))
| big_g(skolemFOFtoCNF_Y(X)) ) ) ) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( ? [Z] : ~ big_f(Z)
| ? [Z] : ~ big_g(Z)
| ? [Z] : ~ big_h(Z) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
( ~ big_f(skolemFOFtoCNF_Z)
| ~ big_g(skolemFOFtoCNF_Z_1)
| ~ big_h(skolemFOFtoCNF_Z_2) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ big_h(X)
<=> ( ~ big_h(skolemFOFtoCNF_Y(X))
& ( ~ big_f(skolemFOFtoCNF_Y(X))
| big_g(skolemFOFtoCNF_Y(X)) ) ) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ big_f(X)
<=> ( ~ big_g(skolemFOFtoCNF_Y(X))
& big_f(skolemFOFtoCNF_Y(X)) ) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ big_h(X)
<=> ( ~ big_h(skolemFOFtoCNF_Y(X))
& big_f(X) ) ),
inference(simplify,[],[normalize_0_5,normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ( ~ big_h(skolemFOFtoCNF_Y(X))
| big_h(X) )
& ( big_f(X)
| big_h(X) )
& ( ~ big_f(X)
| ~ big_h(X)
| big_h(skolemFOFtoCNF_Y(X)) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ big_h(skolemFOFtoCNF_Y(X))
| big_h(X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ big_g(X)
<=> ( ~ big_h(skolemFOFtoCNF_Y(X))
& big_f(skolemFOFtoCNF_Y(X)) ) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_11,plain,
! [X] :
( ( ~ big_h(skolemFOFtoCNF_Y(X))
| big_g(X) )
& ( big_f(skolemFOFtoCNF_Y(X))
| big_g(X) )
& ( ~ big_f(skolemFOFtoCNF_Y(X))
| ~ big_g(X)
| big_h(skolemFOFtoCNF_Y(X)) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ big_f(skolemFOFtoCNF_Y(X))
| ~ big_g(X)
| big_h(skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X] :
( ( ~ big_g(skolemFOFtoCNF_Y(X))
| big_f(X) )
& ( big_f(X)
| big_f(skolemFOFtoCNF_Y(X)) )
& ( ~ big_f(X)
| ~ big_f(skolemFOFtoCNF_Y(X))
| big_g(skolemFOFtoCNF_Y(X)) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ big_g(skolemFOFtoCNF_Y(X))
| big_f(X) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ big_h(skolemFOFtoCNF_Y(X))
| big_g(X) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_16,plain,
! [X] :
( big_f(X)
| big_h(X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_17,plain,
! [X] :
( big_f(skolemFOFtoCNF_Y(X))
| big_g(X) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_18,plain,
! [X] :
( ~ big_f(X)
| ~ big_f(skolemFOFtoCNF_Y(X))
| big_g(skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_13]) ).
cnf(refute_0_0,plain,
( ~ big_f(skolemFOFtoCNF_Z)
| ~ big_g(skolemFOFtoCNF_Z_1)
| ~ big_h(skolemFOFtoCNF_Z_2) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
( ~ big_h(skolemFOFtoCNF_Y(X))
| big_h(X) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_2,plain,
( ~ big_h(skolemFOFtoCNF_Y(X_29))
| big_h(X_29) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_29))]]) ).
cnf(refute_0_3,plain,
( ~ big_f(skolemFOFtoCNF_Y(X))
| ~ big_g(X)
| big_h(skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_4,plain,
( ~ big_g(skolemFOFtoCNF_Y(X))
| big_f(X) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_5,plain,
( ~ big_h(skolemFOFtoCNF_Y(X))
| big_g(X) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_6,plain,
( ~ big_h(skolemFOFtoCNF_Y(X_26))
| big_g(X_26) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_26))]]) ).
cnf(refute_0_7,plain,
( ~ big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_25)))
| big_h(skolemFOFtoCNF_Y(X_25)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_Y(X_25)))]]) ).
cnf(refute_0_8,plain,
( big_f(X)
| big_h(X) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_9,plain,
( big_f(skolemFOFtoCNF_Y(X_2))
| big_h(skolemFOFtoCNF_Y(X_2)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_Y(X_2)))]]) ).
cnf(refute_0_10,plain,
( ~ big_h(skolemFOFtoCNF_Y(X_2))
| big_h(X_2) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_2))]]) ).
cnf(refute_0_11,plain,
( big_f(skolemFOFtoCNF_Y(X_2))
| big_h(X_2) ),
inference(resolve,[$cnf( big_h(skolemFOFtoCNF_Y(X_2)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( big_f(skolemFOFtoCNF_Y(X_9))
| big_h(X_9) ),
inference(subst,[],[refute_0_11:[bind(X_2,$fot(X_9))]]) ).
cnf(refute_0_13,plain,
( ~ big_f(skolemFOFtoCNF_Y(X_9))
| ~ big_g(X_9)
| big_h(skolemFOFtoCNF_Y(X_9)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_9))]]) ).
cnf(refute_0_14,plain,
( ~ big_g(X_9)
| big_h(X_9)
| big_h(skolemFOFtoCNF_Y(X_9)) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Y(X_9)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ big_g(skolemFOFtoCNF_Y(X_22))
| big_h(skolemFOFtoCNF_Y(X_22))
| big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_22))) ),
inference(subst,[],[refute_0_14:[bind(X_9,$fot(skolemFOFtoCNF_Y(X_22)))]]) ).
cnf(refute_0_16,plain,
( ~ big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_21)))
| big_g(skolemFOFtoCNF_Y(X_21)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_Y(X_21)))]]) ).
cnf(refute_0_17,plain,
( ~ big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_20))))
| big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_20))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_20))))]]) ).
cnf(refute_0_18,plain,
( ~ big_g(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_14)))
| big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_14)))
| big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_14)))) ),
inference(subst,[],[refute_0_14:[bind(X_9,$fot(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_14))))]]) ).
cnf(refute_0_19,plain,
( big_f(skolemFOFtoCNF_Y(X))
| big_g(X) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_20,plain,
( big_f(skolemFOFtoCNF_Y(X_8))
| big_g(X_8) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(X_8))]]) ).
cnf(refute_0_21,plain,
( ~ big_f(X)
| ~ big_f(skolemFOFtoCNF_Y(X))
| big_g(skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_22,plain,
( ~ big_f(X_8)
| ~ big_f(skolemFOFtoCNF_Y(X_8))
| big_g(skolemFOFtoCNF_Y(X_8)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(X_8))]]) ).
cnf(refute_0_23,plain,
( ~ big_f(X_8)
| big_g(X_8)
| big_g(skolemFOFtoCNF_Y(X_8)) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Y(X_8)) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ big_f(skolemFOFtoCNF_Y(X))
| big_g(skolemFOFtoCNF_Y(X))
| big_g(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X))) ),
inference(subst,[],[refute_0_23:[bind(X_8,$fot(skolemFOFtoCNF_Y(X)))]]) ).
cnf(refute_0_25,plain,
( big_g(X)
| big_g(skolemFOFtoCNF_Y(X))
| big_g(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X))) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Y(X)) )],[refute_0_19,refute_0_24]) ).
cnf(refute_0_26,plain,
( big_g(X_14)
| big_g(skolemFOFtoCNF_Y(X_14))
| big_g(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_14))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(X_14))]]) ).
cnf(refute_0_27,plain,
( big_g(X_14)
| big_g(skolemFOFtoCNF_Y(X_14))
| big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_14)))
| big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_14)))) ),
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_14))) )],[refute_0_26,refute_0_18]) ).
cnf(refute_0_28,plain,
( big_g(X_20)
| big_g(skolemFOFtoCNF_Y(X_20))
| big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_20)))
| big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_20)))) ),
inference(subst,[],[refute_0_27:[bind(X_14,$fot(X_20))]]) ).
cnf(refute_0_29,plain,
( big_g(X_20)
| big_g(skolemFOFtoCNF_Y(X_20))
| big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_20))) ),
inference(resolve,[$cnf( big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_20)))) )],[refute_0_28,refute_0_17]) ).
cnf(refute_0_30,plain,
( big_g(X_21)
| big_g(skolemFOFtoCNF_Y(X_21))
| big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_21))) ),
inference(subst,[],[refute_0_29:[bind(X_20,$fot(X_21))]]) ).
cnf(refute_0_31,plain,
( big_g(X_21)
| big_g(skolemFOFtoCNF_Y(X_21)) ),
inference(resolve,[$cnf( big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_21))) )],[refute_0_30,refute_0_16]) ).
cnf(refute_0_32,plain,
( big_g(X_22)
| big_g(skolemFOFtoCNF_Y(X_22)) ),
inference(subst,[],[refute_0_31:[bind(X_21,$fot(X_22))]]) ).
cnf(refute_0_33,plain,
( big_g(X_22)
| big_h(skolemFOFtoCNF_Y(X_22))
| big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_22))) ),
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_Y(X_22)) )],[refute_0_32,refute_0_15]) ).
cnf(refute_0_34,plain,
( big_g(X_25)
| big_h(skolemFOFtoCNF_Y(X_25))
| big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_25))) ),
inference(subst,[],[refute_0_33:[bind(X_22,$fot(X_25))]]) ).
cnf(refute_0_35,plain,
( big_g(X_25)
| big_h(skolemFOFtoCNF_Y(X_25)) ),
inference(resolve,[$cnf( big_h(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_25))) )],[refute_0_34,refute_0_7]) ).
cnf(refute_0_36,plain,
( big_g(X_26)
| big_h(skolemFOFtoCNF_Y(X_26)) ),
inference(subst,[],[refute_0_35:[bind(X_25,$fot(X_26))]]) ).
cnf(refute_0_37,plain,
big_g(X_26),
inference(resolve,[$cnf( big_h(skolemFOFtoCNF_Y(X_26)) )],[refute_0_36,refute_0_6]) ).
cnf(refute_0_38,plain,
big_g(skolemFOFtoCNF_Y(X)),
inference(subst,[],[refute_0_37:[bind(X_26,$fot(skolemFOFtoCNF_Y(X)))]]) ).
cnf(refute_0_39,plain,
big_f(X),
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_Y(X)) )],[refute_0_38,refute_0_4]) ).
cnf(refute_0_40,plain,
big_f(skolemFOFtoCNF_Y(X)),
inference(subst,[],[refute_0_39:[bind(X,$fot(skolemFOFtoCNF_Y(X)))]]) ).
cnf(refute_0_41,plain,
( ~ big_g(X)
| big_h(skolemFOFtoCNF_Y(X)) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Y(X)) )],[refute_0_40,refute_0_3]) ).
cnf(refute_0_42,plain,
big_g(X),
inference(subst,[],[refute_0_37:[bind(X_26,$fot(X))]]) ).
cnf(refute_0_43,plain,
big_h(skolemFOFtoCNF_Y(X)),
inference(resolve,[$cnf( big_g(X) )],[refute_0_42,refute_0_41]) ).
cnf(refute_0_44,plain,
big_h(skolemFOFtoCNF_Y(X_29)),
inference(subst,[],[refute_0_43:[bind(X,$fot(X_29))]]) ).
cnf(refute_0_45,plain,
big_h(X_29),
inference(resolve,[$cnf( big_h(skolemFOFtoCNF_Y(X_29)) )],[refute_0_44,refute_0_2]) ).
cnf(refute_0_46,plain,
big_h(skolemFOFtoCNF_Z_2),
inference(subst,[],[refute_0_45:[bind(X_29,$fot(skolemFOFtoCNF_Z_2))]]) ).
cnf(refute_0_47,plain,
( ~ big_f(skolemFOFtoCNF_Z)
| ~ big_g(skolemFOFtoCNF_Z_1) ),
inference(resolve,[$cnf( big_h(skolemFOFtoCNF_Z_2) )],[refute_0_46,refute_0_0]) ).
cnf(refute_0_48,plain,
big_f(skolemFOFtoCNF_Z),
inference(subst,[],[refute_0_39:[bind(X,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_49,plain,
~ big_g(skolemFOFtoCNF_Z_1),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z) )],[refute_0_48,refute_0_47]) ).
cnf(refute_0_50,plain,
big_g(skolemFOFtoCNF_Z_1),
inference(subst,[],[refute_0_37:[bind(X_26,$fot(skolemFOFtoCNF_Z_1))]]) ).
cnf(refute_0_51,plain,
$false,
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_Z_1) )],[refute_0_50,refute_0_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 06:29:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.36
% 0.20/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.36
%------------------------------------------------------------------------------